MD-Represent+&+Interpret+Data

4.MD.4. Make a line plot to display a data set of measurements in fractions of a unit (1/2, 1/4, 1/8). Solve problems involving addition and subtraction of fractions by using information presented in line plots. For example, from a line plot find and interpret the difference in length between the longest and shortest specimens in an insect collection. || ===‍‍‍‍‍‍Anchor Standard/Mathematical Practice(s) === MP.2. Reason abstractly and quantitatively. MP.4. Model with mathematics. MP.5. Use appropriate tools strategically. MP.6. Attend to precision. MP.7. Look for and make use of structure. || Use technology tools and skills to reinforce classroom concepts and activities. || ===‍‍‍‍‍‍Revised Bloom's Level of thinking ===
 * ===Common Core Standard ===
 * ===‍‍‍‍‍‍Information Technology Standard ===

Applying,Analyzing, Creating
|| ===‍‍‍‍‍‍Learning Target/Task Analysis === This standard provides a context for students to work with fractions by measuring objects to an eighth of an inch. Students are making a line plot of this data and then adding and subtracting fractions based on <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">data in the line plot. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Example: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Students measured objects in their desk to the nearest ½, ¼, or 1/8 inch. They displayed their <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">data collected on a line plot. How many object measured ¼ inch? ½ inch? If you put all the <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">objects together end to end what would be the total length of all the objects. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Common Misconceptions: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Students use whole-number names when counting fractional parts on a number line. The <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">fraction name should be used instead. For example, if two-fourths is represented on the <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">line plot three times, then there would be six-fourths. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Students also count the tick marks on the number line to determine the fraction, rather <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">than looking at the ―distance‖ or ―space‖ between the marks.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍I can...
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">I can use a ruler to correctly measure the length of an object. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">I can create a line plot that displays data in fractional units. <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">I can solve problems (adding & subtracting) by using a line plot.

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Essential Vocabulary
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">line plot

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Sample Assessments
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Thinkgate <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;"> Active Expressions/Clickers for Formative Assessment <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Assessment Question: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Kwon and Miguel have an insect collection. They have measured the lengths of all their insects. Their data shows that 4 insects are 1/8 inch long, 6 are 1/4 inch long, 8 are 1/2 inch long, 2 are 1/6 inch long, 1 is 1/12 inch long, and 5 are 1/3 inch long. Create a line plot that shows the data. How much longer is the longest insect from the shortest insect? <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Assessment Activity: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Give each student a bag containing a variety of pasta, with multiple examples of each. For the class, give the measurement of each type of past to use for graphing purposes (fettuccine is ¼ inch, orzo is <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">1/8 inch, spaghetti is 1/6 inch, etc). Ask the students to create a line plot that displays their set of data. Then ask the students to interpret their data set using a set of questions. What is the difference in length from the longest pasta to the shortest pasta? What is the total length of the shortest pasta? <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Common Assessment <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Teacher Observations

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Intervention:
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Frogs in Flight (Line Plot Lesson Plan ): <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Line Plots and Data Video Link: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Traveling Through Line Plots Lesson: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">The Human Line Plot Lesson: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Interactive Ruler Measurement Game: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">A Mountain of Trails (Project Based Learning Measurement): <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Funbrain Ruler Measurement Activity: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Online Activities: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[|http://www.uen.org/3-6interactives/math.shtml#fractions]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Enrichment:
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">A Mountain of Trails (Project Based Learning Measurement): <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Choice Boards <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Tree Measurement: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Funbrain Ruler Measurement Activity: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[] <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">Online Activities: <span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">[|http://www.uen.org/3-6interactives/math.shtml#fractions]

<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Instructional Resources
<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">http://daretodifferentiate.wikispaces.com/Choice+Boards

===<span style="font-family: Arial,Helvetica,sans-serif; font-size: 110%;">‍‍‍‍‍‍Notes and Additional Information ===